Chapter 6: Problem 53
Find the work done in pushing a car along a level road from point \(A\) to point \(B, 80\) feet from \(A,\) while exerting a constant force of 95 pounds. Round to the nearest foot-pound.
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Chapter 6: Problem 53
Find the work done in pushing a car along a level road from point \(A\) to point \(B, 80\) feet from \(A,\) while exerting a constant force of 95 pounds. Round to the nearest foot-pound.
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Will help you prepare for the material covered in the next section. Simplify: \(4(5 x+4 y)-2(6 x-9 y)\)
Find \(\text {pro}_{\mathbf{w}} \mathbf{V}\) Then decompose v into two vectors, \(\mathbf{v}_{1}\) and \(\mathbf{v}_{2},\) where \(\mathbf{v}_{1}\) is parallel to \(\mathbf{w}\) and \(\mathbf{v}_{2}\) is orthogonal to \(\mathbf{w}.\) $$\mathbf{v}=\mathbf{i}+3 \mathbf{j}, \quad \mathbf{w}=-2 \mathbf{i}+5 \mathbf{j}$$
Find \(\text {pro}_{\mathbf{w}} \mathbf{V}\) Then decompose v into two vectors, \(\mathbf{v}_{1}\) and \(\mathbf{v}_{2},\) where \(\mathbf{v}_{1}\) is parallel to \(\mathbf{w}\) and \(\mathbf{v}_{2}\) is orthogonal to \(\mathbf{w}.\) $$\mathbf{v}=2 \mathbf{i}+4 \mathbf{j}, \quad \mathbf{w}=-3 \mathbf{i}+6 \mathbf{j}$$
Use a graphing utility to graph each butterfly curve. Experiment with the range setting, particularly \(\theta\) step, to produce a butterfly of the best possible quality. $$\begin{aligned}&r=1.5^{\sin \theta}-2.5 \cos 4 \theta+\sin ^{7} \frac{\theta}{15} \quad \text { (Use } \quad \theta \min =0 \quad \text { and }\\\ &\theta \max =20 \pi .)\end{aligned}$$
Graph: \(\quad f(x)=\frac{4 x-4}{x-2}\)
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